An earth dam is leaking from its base into a karst limestone formation with many

Question

An earth dam is leaking from its base into a karst limestone formation with many m are worried that the flow intro the formation fractures. Residents in the town will dissolve the limestone and lead to the collapse of the structure. Water levels in the ir and the downstream river are kept steady at values shown on the c diagram below. The dam is 50 [m] wide, 10 [m] high, and 120 [m] thick. The earth dam is composed of soils with a hydraulic conductivity K-0.5 [m day . Estimate how much leakage is taking place from below the dam itself [in m' day ] if a monitoring borchole at the center of the dam measures a water elevation of 6 [m]. Earth Dam 50 m Reservolr River 10 m 9 m Karst Leakage

Explanation / Answer

leakage (m3/day) = k h12 - h22/2l

here h1 = 9m

       h2 = 2m

       l = 50m

     k = 0.5m/day

leakage (m3/day) = 0.5 81-4/2*50

                          = 0.5*77/100

                          = 0.5*0.77

                           = 0.38 m3/day

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